Second-derivative estimates for solutions of two-dimensional Monge-Ampère equations
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- by Friedmar Schulz PDF
- Proc. Amer. Math. Soc. 111 (1991), 101-110 Request permission
Abstract:
Heinz-Lewy type a priori estimates are derived for the absolute values of the second derivatives of solutions $z(x,y) \in {C^{1,1}}(\Omega )$ of Monge-Ampère equations of the general form \[ Ar + 2Bs + Ct + (rt - {s^2}) = E\] in the interior of the domain $\Omega$. The coefficients $A,B,C,E$ depend in particular on the gradient of $z(x,y)$ and satisfy certain structural conditions.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 101-110
- MSC: Primary 35B45; Secondary 35J60
- DOI: https://doi.org/10.1090/S0002-9939-1991-1031671-1
- MathSciNet review: 1031671